Linear n-widths of diagonal matrices in the average and probabilistic settings
Linear n-widths of diagonal matrices in the average and probabilistic settings
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DOI：
10.1016/j.jfa.2012.02.010
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发表时间：
2012-05
影响因子：
1.7
通讯作者：
F. Dai;Heping Wang
中科院分区：
文献类型：
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作者：
F. Dai;Heping Wang
确定了对角矩阵关于标准高斯测度的平均线性n宽度的精确值，并将其应用于在平均和概率设置下关于线性n宽度的几个新结果，包括对角矩阵的线性(n，δ)宽度的精确上、下估计。
Exact values of the average linear n-widths with respect to the standard Gaussian measure on Rmare determined for diagonal matrices, and are applied to deduce several new results on linear n-widths in the average and probabilistic settings, including the sharp upper and lower estimates of the linear (n,δ)-widths of diagonal matrices.